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Finding the Fourth Proportional to 852.89, 1,177.13 and 619.88

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Solution

The fourth proportional to 852.89, 1,177.13 and 619.88 is: 855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.89 : 1,177.13 = 619.88 : x
  2. Step 2: Convert to fraction form
    852.89/1,177.13 = 619.88/x
  3. Step 3: Cross multiply
    852.89x = 1,177.13 × 619.88
  4. Step 4: Simplify right side
    852.89x = 729,675.01
  5. Step 5: Solve for x
    x = 729,675.01/852.89
  6. Step 6: Final answer
    x = 855.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.